Faculty Detail
Hugh Montgomery
Professor
4066 East Hall
Phone: (734) 7633269
Email:
hlm@umich.edu

Affiliation(s)

Number Theory

Number Theory

About
Interests Number theory and harmonic analysis, mainly analytic number theory, and most especially the distribution of prime numbers, properties of the Riemann zeta function, and the distribution of its zeros. Further interests include Diophantine approximation, the geometry of numbers, transcendence, power sums, irregularities of distribution, extremal properties of trigonometric polynomials, and analytic inequalities.